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Finding the Fourth Proportional to 2,426.16, 3,638.16 and 1,128

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Solution

The fourth proportional to 2,426.16, 3,638.16 and 1,128 is: 1,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.16 : 3,638.16 = 1,128 : x
  2. Step 2: Convert to fraction form
    2,426.16/3,638.16 = 1,128/x
  3. Step 3: Cross multiply
    2,426.16x = 3,638.16 × 1,128
  4. Step 4: Simplify right side
    2,426.16x = 4,103,844.48
  5. Step 5: Solve for x
    x = 4,103,844.48/2,426.16
  6. Step 6: Final answer
    x = 1,691.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.